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Finding the Fourth Proportional to 1,992.32, 2,749.43 and 1,195.76

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Solution

The fourth proportional to 1,992.32, 2,749.43 and 1,195.76 is: 1,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.32 : 2,749.43 = 1,195.76 : x
  2. Step 2: Convert to fraction form
    1,992.32/2,749.43 = 1,195.76/x
  3. Step 3: Cross multiply
    1,992.32x = 2,749.43 × 1,195.76
  4. Step 4: Simplify right side
    1,992.32x = 3,287,659.31
  5. Step 5: Solve for x
    x = 3,287,659.31/1,992.32
  6. Step 6: Final answer
    x = 1,650.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.